2676641607936 has 144 divisors (see below), whose sum is σ = 7918152016320. Its totient is φ = 891892408320.

The previous prime is 2676641607907. The next prime is 2676641607947. The reversal of 2676641607936 is 6397061466762.

2676641607936 is a `hidden beast` number, since 2 + 67 + 66 + 416 + 0 + 79 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19513351 + ... + 19650041.

It is an arithmetic number, because the mean of its divisors is an integer number (54987166780).

Almost surely, 2^{2676641607936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2676641607936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959076008160).

2676641607936 is an abundant number, since it is smaller than the sum of its proper divisors (5241510408384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2676641607936 is a wasteful number, since it uses less digits than its factorization.

2676641607936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139549 (or 139529 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 2676641607936 in words is "two trillion, six hundred seventy-six billion, six hundred forty-one million, six hundred seven thousand, nine hundred thirty-six".